The cell division cycle: a physiologically plausible dynamic model can exhibit chaotic solutions.

Lloyd, David ORCID: https://orcid.org/0000-0002-5656-0571, Lloyd, Alun L. ORCID: https://orcid.org/0000-0002-5656-0571 and Olsen, Lars Folke 2003. The cell division cycle: a physiologically plausible dynamic model can exhibit chaotic solutions. BioSystems 27 (1) , pp. 17-24. 10.1016/0303-2647(92)90043-X

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Abstract

A mitotic oscillator with one slowly increasing variable (tau L of the order of hours) and one rapidly increasing variable (tau R of the order of minutes) modulated by a timer (ultradian clock) gives an auto-oscillating solution: cells divide when this relaxation oscillator reaches a critical threshold to initiate a rapid phase of the limit cycle. Increasing values of the velocity constant in the slow equation give quasi-periodic, chaotic and periodic solutions. Thus dispersed and quantized cell cycle times are consequences of a chaotic trajectory and have a purely deterministic basis. This model of the dispersion of cell cycle times contrasts with many previous ones in which cell cycle variability is a consequence of stochastic properties inherent in a sequence of many thousands of reactions or the random nature of a key transition step.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Biosciences
Publisher:	Elsevier
ISSN:	0303-2647
Last Modified:	26 Oct 2022 08:34
URI:	https://orca.cardiff.ac.uk/id/eprint/127802

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